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9919692144 = 2432611378243
BaseRepresentation
bin10010011110100001…
…00111110101110000
3221121022122120110100
421033100213311300
5130303420122034
64320153232400
7500550664155
oct111720476560
927538576410
109919692144
11423045358a
121b0a102700
13c2117cc2b
146a161a22c
153d0ce8099
hex24f427d70

9919692144 has 120 divisors (see below), whose sum is σ = 28425872592. Its totient is φ = 3228226560.

The previous prime is 9919692143. The next prime is 9919692229. The reversal of 9919692144 is 4412969199.

9919692144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9919692143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1199287 + ... + 1207529.

Almost surely, 29919692144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9919692144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14212936296).

9919692144 is an abundant number, since it is smaller than the sum of its proper divisors (18506180448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9919692144 is a wasteful number, since it uses less digits than its factorization.

9919692144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8455 (or 8446 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 9919692144 is about 99597.6512976084. The cubic root of 9919692144 is about 2148.6519145226.

The spelling of 9919692144 in words is "nine billion, nine hundred nineteen million, six hundred ninety-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 137 144 183 244 274 366 411 488 548 549 732 822 976 1096 1098 1233 1464 1644 2192 2196 2466 2928 3288 4392 4932 6576 8243 8357 8784 9864 16486 16714 19728 24729 25071 32972 33428 49458 50142 65944 66856 74187 75213 98916 100284 131888 133712 148374 150426 197832 200568 296748 300852 395664 401136 502823 593496 601704 1005646 1129291 1186992 1203408 1508469 2011292 2258582 3016938 3387873 4022584 4517164 4525407 6033876 6775746 8045168 9034328 9050814 10163619 12067752 13551492 18068656 18101628 20327238 24135504 27102984 36203256 40654476 54205968 68886751 72406512 81308952 137773502 162617904 206660253 275547004 413320506 551094008 619980759 826641012 1102188016 1239961518 1653282024 2479923036 3306564048 4959846072 9919692144